Question

2 points

Given a normally distributed data set with the mean 31 and the standard deviation=9, according to the Empirical Rule, what percent of the data points are betwe
4 and 58?
Do not include a % symbol with your response.
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Answer 1

According to the Empirical Rule, we cannot estimate the percentage of data points between 4 and 58 in this case.

Step-by-step explanation:

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

In this case, the mean of the data set is 31 and the standard deviation is 9. So, within one standard deviation, the range would be from mean - standard deviation to mean + standard deviation, which is 31 - 9 to 31 + 9, or 22 to 40.

The range given in the question, 4 to 58, is beyond three standard deviations from the mean, so we cannot use the Empirical Rule to estimate the percentage of the data points within this range.

Learn more about Estimating percentage of data points within a given range